Timeline for Ample line bundle and Frobenius morphism on smooth toric variety
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 3, 2011 at 8:56 | vote | accept | Universe | ||
| May 2, 2011 at 19:31 | answer | added | Piotr Achinger | timeline score: 2 | |
| May 2, 2011 at 15:59 | answer | added | David E Speyer | timeline score: 3 | |
| May 1, 2011 at 13:26 | comment | added | Parsa | Can you find an example of a toric n-fold $X$ such that for any ample line bundle $L$, $H^0(X,L \otimes \omega_X) \neq 0$? If so, then the top cohomology of any anti-ample line bundle is non-zero, which means that if your question had a positive answer, you would have that $h^n(X,L^{-1})=h^n(X,F_*L^{-1}) \geq p^n$, which cannot happen for $p>>0$. | |
| Apr 30, 2011 at 12:10 | comment | added | Karl Schwede | What happens in $\mathbb{P}^1 \times \mathbb{P}^1$? | |
| Apr 30, 2011 at 5:09 | history | asked | Universe | CC BY-SA 3.0 |